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Finding the Fourth Proportional to 145,882.56, 201,317.88 and 78,814.56

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Solution

The fourth proportional to 145,882.56, 201,317.88 and 78,814.56 is: 108,764.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,882.56 : 201,317.88 = 78,814.56 : x
  2. Step 2: Convert to fraction form
    145,882.56/201,317.88 = 78,814.56/x
  3. Step 3: Cross multiply
    145,882.56x = 201,317.88 × 78,814.56
  4. Step 4: Simplify right side
    145,882.56x = 15,866,780,132.33
  5. Step 5: Solve for x
    x = 15,866,780,132.33/145,882.56
  6. Step 6: Final answer
    x = 108,764.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.